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NEURAL MAPPING NETWORK — DIAGNOSTIC REPORT
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📊 NETWORK SIZE: 20 concepts
   - Mathematics: 10 concepts
   - Classical Physics: 10 concepts

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§1: ATTRIBUTE DOMINANCE ANALYSIS
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📁 MATHEMATICS:
   Δ (A=1):  4 concepts ( 40.0%) ████████
   ⇄ (A=2):  6 concepts ( 60.0%) ████████████
   ⟳ (A=3):  0 concepts (  0.0%) 

📁 CLASSICAL_PHYSICS:
   Δ (A=1):  1 concepts ( 10.0%) ██
   ⇄ (A=2):  8 concepts ( 80.0%) ████████████████
   ⟳ (A=3):  1 concepts ( 10.0%) ██

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§2: DIMENSIONAL CLUSTERING
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📁 MATHEMATICS:
   D=1: 7 concepts
      • Fundamental Theorem of Algebra
      • Brouwer Fixed Point Theorem
      • Bayes' Theorem
      • Peano Axioms
      • Stokes' Theorem
      • Fundamental Theorem of Arithmetic
      • Tarski's Undefinability Theorem
   D=2: 2 concepts
      • Cauchy-Riemann Equations
      • Green's Theorem
   D=3: 1 concepts
      • Divergence Theorem

📁 CLASSICAL_PHYSICS:
   D=2: 2 concepts
      • Snell's Law
      • Doppler Effect
   D=3: 6 concepts
      • Kepler's Laws of Planetary Motion
      • Galilean Relativity
      • Bernoulli's Principle
      • Pascal's Principle
      • Ideal Gas Law
      • Ampère's Law
   D=4: 2 concepts
      • Faraday's Law of Induction
      • Lenz's Law

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§3: COORDINATE SPACE OCCUPANCY (Tesseract Grid)
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🎯 OCCUPIED NODES: 9 / 72 Tesseract nodes
   Coverage: 12.5%

Occupied coordinates (sorted by count):
   Σ321₊: 6 concepts
      • Divergence Theorem (math)
      • Kepler's Laws of Planetary Motion (clas)
      • Bernoulli's Principle (clas)
      • Pascal's Principle (clas)
      • Ideal Gas Law (clas)
      • Ampère's Law (clas)
   Σ221₊: 4 concepts
      • Cauchy-Riemann Equations (math)
      • Green's Theorem (math)
      • Snell's Law (clas)
      • Doppler Effect (clas)
   Σ111₊: 2 concepts
      • Fundamental Theorem of Algebra (math)
      • Peano Axioms (math)
   Σ121₊: 2 concepts
      • Brouwer Fixed Point Theorem (math)
      • Bayes' Theorem (math)
   Σ112₊: 2 concepts
      • Fundamental Theorem of Arithmetic (math)
      • Tarski's Undefinability Theorem (math)
   Σ123₊: 1 concepts
      • Stokes' Theorem (math)
   Σ311₊: 1 concepts
      • Galilean Relativity (clas)
   Σ431₊: 1 concepts
      • Faraday's Law of Induction (clas)
   Σ421₊: 1 concepts
      • Lenz's Law (clas)

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§4: COMPLEXITY DISTRIBUTION
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Complexity levels:
   foundational (1): 17 concepts (85.0%) █████████████████
   recursive (2): 2 concepts (10.0%) ██
   synthetic (3): 1 concepts (5.0%) █

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§5: OSCILLATION TENSIONS (P8 Collapse Events)
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Found 2 concepts with recorded oscillations:

📍 Galilean Relativity (classical_physics)
   Δ/⇄ tension: principle presupposes inertial frame distinction (Δ) but affirms invariance of laws across frames (⇄). Elimination test resolves toward Δ: Galileo historically introduces the concept of i...

📍 Lenz's Law (classical_physics)
   ⇄/⟳ tension: Faraday (Σ₄₃₁₊) describes THAT induction occurs (process), Lenz describes HOW it relates to its cause (opposition). Not 'same phenomenon from two angles' — complementary but distinct. The...

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§6: PATTERN EMERGENTI
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🔬 ATTRIBUTE PATTERN:
   Mathematics:       ⇄ = 6/10 (60%) — Balanced
   Classical Physics: ⇄ = 8/10 (80%) — Relation-dominant
   → Physics describes observable relations, Math describes structures

🎯 HOTSPOT COORDINATES:
   Σ321₊ (D=3, ⇄, X=1): 6 concepts
   Σ221₊ (D=2, ⇄, X=1): 4 concepts
   Σ111₊ (D=1, Δ, X=1): 2 concepts

🌐 DIMENSIONAL PATTERNS:
   mathematics: Average D = 1.40
      Most common: D=1 (7 concepts)
   classical_physics: Average D = 3.00
      Most common: D=3 (6 concepts)

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§7: NEXT STEPS RECOMMENDATION
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📋 COVERAGE GAPS:
   ✅ All attributes and dimensions represented

🎯 SUGGESTED NEXT DOMAINS:
   • Thermodynamics (⟳-heavy: irreversible processes, entropy)
   • Quantum mechanics (⟳: state transitions, time evolution)
   • Set theory (Δ-heavy: distinctions, classifications)
   • Logic (Δ: true/false, propositions)
   • General relativity (D=4 ⟳: spacetime curvature dynamics)
   • Quantum field theory (D=4 ⟳: field evolution)
   • Information theory (Δ/⇄: encoding, compression, channel capacity)
   • Statistical mechanics (bridge micro↔macro scales)

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END DIAGNOSTIC REPORT
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